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206342796 = 223112815563
BaseRepresentation
bin11000100110010…
…00101010001100
3112101021022002210
430103020222030
5410310432141
632250350420
75053612332
oct1423105214
9471238083
10206342796
11a6525440
125912b410
133399833a
141d593b52
15131ad916
hexc4c8a8c

206342796 has 48 divisors (see below), whose sum is σ = 527200128. Its totient is φ = 62294400.

The previous prime is 206342771. The next prime is 206342803. The reversal of 206342796 is 697243602.

206342796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2063427962 = 85154698922195232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34311 + ... + 39873.

It is an arithmetic number, because the mean of its divisors is an integer number (10983336).

Almost surely, 2206342796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206342796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263600064).

206342796 is an abundant number, since it is smaller than the sum of its proper divisors (320857332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206342796 is a wasteful number, since it uses less digits than its factorization.

206342796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 206342796 is about 14364.6369950653. The cubic root of 206342796 is about 590.9214711238.

The spelling of 206342796 in words is "two hundred six million, three hundred forty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1686 3091 3372 5563 6182 9273 11126 12364 16689 18546 22252 33378 37092 61193 66756 122386 183579 244772 367158 734316 1563203 3126406 4689609 6252812 9379218 17195233 18758436 34390466 51585699 68780932 103171398 206342796